Camera to Camera

I need a new SD card for my digital camera, but that has brought a question to mind. I need a new camera in general. It's time. The one I have is almost six years old and the program doesn't interact well with Vista anyway. It still takes decent pictures but I've noticed even there it has begun to suffer a bit in quality. So if I get a new SD card will it be transferable to a new camera. I think most of them all use standard types of SD cards so it should. Would pictures saved on the card from the old camera be recognizable to the new camera? That is a different story. If I knew that would be the case I could continue using my old camera until I get around to getting a new one. I wouldn't even give it a thought but I've had experiences where programs, disks, drives, etc, haven't worked between various computers so it would seem the same struggles could exist camera to camera.